Eugh. I cbet so much that it would be dumb to not cbet a hit board. Soon or less I'd get called down on all my cbets. I rather have easy lines:
-cbet flop and give up if i didnt hit
-cbet flop and call expensive reraises if i hit and bet turn

I think c/raise flop would be a nice mix in this spot. He folds often enought i think and if you get called you still got your gutshot prolly. And if he come over the top again you have an easy fold and it`s a nice way to vary it